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Photo DESCARTES, René. 

DESCARTES, René. 

Les Principes de la philosophie de René Descartes. 

Paris, Nicolas Le Gras, 1681.
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250 €

Fourth edition.
"The Principles of Philosophy" by René Descartes is a fundamental work of Western philosophy. In this treatise, Descartes sets out his vision of the world, based on metaphysical and physical principles. He develops his method of doubt, his famous "cogito, ergo sum" (I think, therefore I am), and his conceptions on the nature of the soul and the body.

Photo VARIGNON, Pierre || PUJOL (Abbé). 

VARIGNON, Pierre || PUJOL (Abbé). 

Traité du mouvement et de la mesure des eaux coulantes et jaillissantes. 

Paris, Pissot, 1725.
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200 €

First edition.
The work is based on the posthumous manuscripts of Pierre Varignon, edited by Abbé Pujol. Varignon addresses in particular the problem of the Torricelli flow.

Photo NICERON, Jean-François. 

NICERON, Jean-François. 

La Perspective curieuse ou magie artificielle des effets merveilleux de : L’optique par la vision directe, la catoptrique, par la réflexion des miroirs plats, cylindriques & coniques, la dioptrique, par la réfraction des crystaux. 

Paris, Pierre Billaine, 1638.
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2500 €

First edition.
This work is a treatise on optical illusions and anamorphic perspectives, written by Nicéron, a monk of the order of Minims and mathematician of the 17th century. In it, he explores the principles of geometry applied to perspective, in particular the deformations of images that are only correctly revealed from a certain angle or through a mirror.
La Perspective Curieuse is a major work in the history of visual perception and art, influencing both artists and scientists of its time.
The discussion in the fourth part is particularly famous for being the first reference to the law of refraction developed by Descartes that same year.
A title-frontispiece engraved by Daret.

Photo [POLYTECHNIQUE]. 

[POLYTECHNIQUE]. 

Programmes de l'enseignement polytechnique de l'Ecole centrale des travaux publics. 

Paris, Imprimerie nationale, Pluviose An III ( janvier 1795).
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500 €

First edition.
First use of the adjective "Polytechnique" which will be used a few months later to give its new name to the "Ecole centrale des travaux publics" which will become the "École polytechnique".
Here are the detailed programs of the courses that will be taught during the creation of the School.

Photo VOGT, Henri Gustave. 

VOGT, Henri Gustave. 

Leçons sur la résolution algébrique des équations. 

Paris, Librairie Vuibert, [1895].
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50 €

First edition.
The book includes a preface by Jules Tannery who writes: "truly indispensable to those who must one day speak of symmetric functions, of the transformation of equations, of the resolution of third and fourth degree equations, of the equations of the division of the circle."

Our copy bears a butterfly and a stamp from the Vuibert bookstore which had to buy back the stock of the publisher Nony.

Photo L’HOSPITAL, Guillaume (Marquis de). 

L’HOSPITAL, Guillaume (Marquis de). 

Traité analytique des sections coniques et de leur usage pour la résolution des équations dans les problèmes tant déterminez qu’indéterminez. 

Paris, Montalant, 1720.
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200 €

Second edition.
Treatise on conic sections, which he treats both by geometric and analytical methods (equations of the form ax2 bx2 cxy dx ey f = 0) and which was very successful. Finalized in 1699, it was not published until after his death at the request of Fontenelle, then secretary of the Royal Academy.

Photo [GEOMETRIE]. 

[GEOMETRIE]. 

Cours de géométrie manuscrit. 

s.l., s.n., [v. 1800].
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Original manuscript.
Manuscript of an elementary geometry course (triangle, polygons, etc.), some figures in the text.

Photo OZANAM, Jacques. 

OZANAM, Jacques. 

Méthode générale pour tracer des cadrans de toute sorte de plans. 

Paris, Estienne Michallet, 1685.
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250 €

Second edition.
A self-taught mathematician, Jacques Ozanam was above all a popularizer of mathematics. In his works, he disseminated practical applications of this science, whether for the division of land, the calculation of inheritances or, as here, the drawing of sundials.

Photo LAMY, Bernard. 

LAMY, Bernard. 

Traité de la grandeur en général qui comprend l'arithmétique, l'algèbre, l'analyse et les principes de toutes les sciences qui ont la grandeur pour objet. 

Paris, André Pralard, 1680.
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400 €

First edition.
A very complete copy of its plate.

Photo BIELFELD, Jacques-Frédéric (Baron de). 

BIELFELD, Jacques-Frédéric (Baron de). 

Institutions politiques. 

La Haye, Pierre Gosse, 1760.
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450 €

First edition.
Baron Bielfeld was an advisor to Frederick II of Prussia, his work consists mainly of reflections on national governance.
His work had a significant impact on both political science and statistics. He would be the first to introduce the word "statistics" to replace the term political arithmetic.

Photo GAULTIER DE BIAUZAT, Jean François. 

GAULTIER DE BIAUZAT, Jean François. 

Projet motivé d'articles additionnels à la loi, du 19 janvier 1791. Relative à l'organisation des Ponts & Chaussées. 

Paris, Imprimerie nationale, 1791.
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120 €

First edition.
Proposed amendments to the law of January 19, 1791, which created the Corps of Ponts et Chaussées.

Photo SAVARY, Jacques. 

SAVARY, Jacques. 

Le Parfait Négociant ou instruction générale pour ce qui regarde le commerce. 

Lyon, Jacques Lyons, 1701.
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150 €

Fifth edition.
A famous merchant born in 1622 in Doué (Anjou) from a noble family, Savary became a wealthy merchant and retired from business at the age of 36. He was chosen by Colbert to be one of the writers of the commercial code of 1673 which was called "Code Savary". He wrote in 1675 the "Perfect trader" which is the compilation of the knowledge he had gathered for the drafting of the ordinance. The legal solutions are clear, sensible, practical, honest. The book is a business bible whose importance Max Weber underlined. This work became a classic, reprinted many times and translated into German, English and Italian.

Photo VIETE, François. 

VIETE, François. 

Opera mathematica in unum volumen congesta ac recognita, opera atque studio Francisci a Schooten. 

Leyde, ex officina Bonaventura Abraham Elzeviriorum, 1646.
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9500 €

First collective edition of the works of François Viète.
François Viète, a 16th-century French mathematician born in Fontenay-le-Comte in 1540 and died in Paris in 1603, is often hailed as the father of modern algebra.
Indeed, Viète was one of the first mathematicians in Europe to note the parameters of an equation using symbols. His innovative approach and contribution to algebraic notation was particularly influential and opened new ways for solving mathematical problems. In recognition of his contributions, Viète is widely considered one of the greatest mathematicians of his time and his legacy endures in the field of modern mathematics to this day.
This first collective edition features sixteen of Viète's works, including his seminal 'Isagoge in artem analyticam', which introduced his innovative algebraic notation.

Photo DEIDIER, (Abbé). 

DEIDIER, (Abbé). 

La Mesure des surfaces et des solides, par l'arithmétique des infinis et les centres de gravité. 

Paris, Charles-Antoine Jombert, 1740.
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750 €

First edition.
Work which is inspired by Wallis' method of measuring surfaces by the arithmetic of infinities which has the advantage according to Deidier of using simple algebra. Deidier found the algebra of integral calculus too abstract. Deidier's works ensured him a distinguished place among the mathematicians of his time.
​.

Photo CHOPART, Louis Narcisse. 

CHOPART, Louis Narcisse. 

Essais sur les évolutions navales suivis de quelques tables. 

Paris, Imprimerie royale, 1839.
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600 €

First edition.
Chopart will be Vice-Admiral of the French Navy, he will participate in particular in the Algiers expedition in 1830. His book is in line with the tactics of the 18th century sailing navy, but as a former student from polytechnique he constantly uses geometric tools to demonstrate his movements. Beautiful printing on quality paper for this naval tactics book.

Photo COUSIN, Jacques-Antoine-Joseph. 

COUSIN, Jacques-Antoine-Joseph. 

Leçons de Calcul différentiel et de calcul intégral. 

Paris, Jombert, 1777.
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200 €

First edition.

Photo POINCARE, Henri || HILBERT, David || HERTZ, Heinrich. 

POINCARE, Henri || HILBERT, David || HERTZ, Heinrich. 

Acta Mathematica. 

Stockholm, F et G Beijer, 1887-1900.
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1500 €

First edition.
Set of eleven volumes of the famous Acta mathematica in which the greatest mathematicians published their research in their languages. Among the illustrious contributors we will note 7 articles by Henri Poincaré, 2 articles by David Hilbert, 1 article by Hertz, 3 articles by Tchebycheff and numerous articles from the French school following Emile Borel.

Non-exhaustive list of articles:

POINCARÉ, H. L'oeuvre mathématique de Weierstrass..........
POINCARÉ, H. Sur les propriétés du potentiel et sur les fonctions Abéliennes
POINCARÉ, H. Sur une forme nouvelle des équations du problème des trois corps...
POINCARÉ, H. Sur les rapports de l'analyse pure et de la physique mathématique
POINCARE, H. La méthode de Neumaun et le problème de Dirichlet
POINCARE, H. Sur la polarisation par diffraction
POINCARÉ, H. Sur la polarisation par diffraction. (Seconde
Partie)

HILBERT, DAVID. Ein Beitrag zur Theorie des Legendre'schen Polynoms
HILBERT, D. und HURWITZ, A. Über die diophantischen Gleichungen vom Geschlecht Null


HERTZ, H. Sur les équations fondamentales de l'électrodynamique pour les corps en mouvement

TCHEBYCHEFF, P. Sur deux théorèmes relatifs aux probabilités
TCHEBYCHEFF, P. Sur les résidus intégraux qui donnent des valeurs approchées des intégrales.
TCHEBYCHEW, P. Angenäherte Darstellung der Kvadrat- wurzel einer Veränderlichen mittelst einfacher Brüche. Aus dem Rus sischen übersetzt von O. Backlund....


BOREL, ÉMILE. Sur les séries de Taylor 243 248
d'OCAGNE, MAURICE. Théorie des équations représentables par trois systèmes linéaires de points cotés
COUSIN, PIERRE. Sur les fonctions den variables complexes
GOURSAT, E. Sur une classe d'équations aux dérivées partielles du second ordre, et sur la théorie des intégrales intermédiaires
LECORNU, LÉON. Mémoire sur le pendule de longueur variable
LIOUVILLE, R. Sur les équations de la dynamique
BOREL, EMILE. Sur les zéros des fonctions entières..........
HADAMARD, J. Mémoire sur l'élimination
LIOUVILLE, R. Sur le mouvement d'un corps solide pesant suspendu par l'un de ses points
PINCHERLE, 8. Sur la génération des systèmes récurrents au moyen d'une équation linéaire différentielle.
HADAMARD, J. Sur les caractères de convergence des séries à termes positifs et sur les fonctions indéfiniment croissantes
HADAMARD, J. Note additionnelle à l'article Sur les caractères de convergence des séries à termes positifs et sur les fonctions indéfiniment croissantess
PICARD, E. Sur une classe de transcendantes nouvelles. (Pre- mier mémoire)........
GOURSAT, É. Sur un mode de transformation des surfaces minima
GOURSAT, É. Sur un mode de transformation des surfaces mi- nima (second mémoire)
PICARD, É. Démonstration d'un théorème générale sur les fonctions uniformes liées par une relation algébrique...
PICARD, E. Sur une classe d'équations linéaires aux dérivées partielles du second ordre..
PICARD, EMILE. Sur une classe de transcendantes nouvelles (second mémoire).

Photo CRAMER, Gabriel. 

CRAMER, Gabriel. 

Introduction à l'analyse des lignes courbes algébriques. 

Genève, Frères Cramer & Philibert, 1750.
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800 €

First edition.
The only publication by the Genevan mathematician Gabriel Cramer (1704-1752), it includes the method known today as Cramer's rule for the resolution of linear systems of equations, using what will later be called determinants.

Photo FONTES, Joseph. 

FONTES, Joseph. 

Archéologie Mathématique : Réunion de 6 plaquettes. 

Toulouse, s.n., [v. 1897].
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150 €

First editions.
Meeting of 6 brochures on the subject of Mathematical Archaeology, taken separately from science history journals:.

Photo FONTES, Joseph. 

FONTES, Joseph. 

Réunion de 4 plaquettes sur l'arithmétique et la division. 

Toulouse, s.n., [1892-1893].
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150 €

First editions.
Meeting of 4 brochures on the subject of arithmetics.

Photo CLAIRAUT, Alexis. 

CLAIRAUT, Alexis. 

Élémens de Géométrie. 

Paris, Lambert & Durand, 1741.
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500 €

First edition.
Title page at Lambert & Durand, we find the title page more frequently at David fils. Bibliographers agree that this is the same edition.
The three last blank pages with old manuscript notes.

Clairaut's work enjoyed considerable success in France and Europe.

Photo DARBOUX, Gaston. 

DARBOUX, Gaston. 

Leçons sur les systèmes orthogonaux et les coordonnées curvilignes. 

Paris, Gauthier-Villars, 1910.
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60 €

Second edition.

Gaston Darboux (1842-1917) is a French mathematician, he succeeds in 1878 to Chasles at the chair of geometry superior of the faculty of sciences of Paris.

Photo CAGNOLI, Antoine. 

CAGNOLI, Antoine. 

Traité de trigonométrie rectiligne et sphérique, Contenant des Méthodes et des Formules nouvelles, avec des applications à la plupart des problêmes de l'Astronomie. 

Paris, Didot fils ainé, 1786.
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200 €

First french edition.
Translation by Chompré of the work of Antoine Cagnoli, Italian astronomer and mathematician.
Prize-giving copy of the Ecole centrale de la Dorgogne awarded in 1799.

Photo LEVY, Paul. 

LEVY, Paul. 

Calcul des probabilités. 

Paris, Gauthier-Villars, 1925.
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950 €

First edition.
Paul Lévy (1886-1971) French mathematician is among the founders of modern probability theory. We also owe him important considerations on the stable stochastic laws which bear his name as well as on martingales. In 1920, he was appointed professor of analysis at the École Polytechnique and on this occasion discovered the discipline that would leave his mark the most: the calculation of probabilities. It can be said that most of the essential concepts of probability theory derive from him.

Photo MERAY, Charles. 

MERAY, Charles. 

Nouveau précis d'analyse infinitésimale. 

Paris, Savy, 1872.
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300 €

First edition.

Photo LACROIX, Silvestre François. 

LACROIX, Silvestre François. 

Essais sur l'enseignement en général et sur celui des mathématiques en particulier. 

Paris, Bachelier, 1828.
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200 €

Third edition.

Copy from the scientific library of Richard M. Hoe (1812-1886), inventor of the rotary press and great collector of scientific literature. Our copy appears on page 41 of his library's inventory.

Photo D'OCAGNE, Maurice. 

D'OCAGNE, Maurice. 

Cours de géométrie pure et appliquée de l'école polytechnique. 

Paris, Gauthier-Villars, 1917-1918.
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120 €

First edition.

Presentation copy to Henri Brocard.

Henri Brocard (1845-1922), polytechnician and officer, engineering commander, he is best known for his work on the modern geometry of the triangle with Émile Lemoine and Joseph Neuberg in the 1870s-1880s. We owe him the construction of Brocard's point, circle, line and angle which have particular properties.

Photo LEBESGUE, Henri. 

LEBESGUE, Henri. 

Leçons sur les séries trigonométriques. 

Paris, Gauthier-Villars, 1906.
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First edition.
Henri Lebesgue (1875-1941), is one of the great French mathematicians of the first half of the twentieth century. He is recognized for his theory of integration and for his theory of measurement, which extends the important early work of Émile Borel.

His lessons on trigonometric series repeat the courses given in 1904-1905 at the Collège de France.

Photo DARBOUX, Gaston. 

DARBOUX, Gaston. 

Principes de géométrie analytique. 

Paris, Gauthier-Villars, 1917.
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60 €

First edition.

Gaston Darboux (1842-1917) is a French mathematician, he succeeded Chasles in 1878 as chair of higher geometry at the Paris Faculty of Sciences. His work concerns analysis (integration, partial differential equations) and differential geometry (study of curves and surfaces). They were a source of inspiration for the Cosserat brothers as well as for Élie Cartan.

Photo LEBESGUE, Henri. 

LEBESGUE, Henri. 

Leçons sur les constructions géométriques. 

Paris, Gauthier-Villars, 1950.
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First edition.
Henri Lebesgue (1875-1941), is one of the great French mathematicians of the first half of the twentieth century. He is recognized for his theory of integration and for his theory of measurement, which extends the important early work of Émile Borel.

His lessons on geometric constructions repeat the courses given in 1940-1941 at the Collège de France.

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